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Related papers: Weyl double copy in Lifshitz spacetimes

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Two-dimensional ($2D$) Lifshitz-like black holes in special $F(R)$ gravity cases are extracted. We indicate an essential singularity at $r=0$, covered with an event horizon. Then conserved and thermodynamic quantities such as temperature,…

General Relativity and Quantum Cosmology · Physics 2022-11-03 B. Eslam Panah

As argued in arXiv:2104.10172, introducing a non-minimally coupled scalar field, three-dimensional Einstein gravity can be extended by infinite families of theories which admit simple analytic generalizations of the charged BTZ black hole.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Pablo Bueno , Oscar Lasso Andino , Javier Moreno , Guido van der Velde

We consider two different relativistic versions of the Kepler problem in the plane: the first one involves the relativistic differential operator, the second one involves a correction for the usual gravitational potential due to…

Dynamical Systems · Mathematics 2023-03-02 Alberto Boscaggin , Walter Dambrosio , Guglielmo Feltrin

The double copy relates quantities in gauge, gravity and related theories. A well-known procedure for relating exact classical solutions is the Weyl double copy in four spacetime dimensions, and a three-dimensional analogue of this -- the…

High Energy Physics - Theory · Physics 2022-12-12 Mariana Carrillo González , William T. Emond , Nathan Moynihan , Justinas Rumbutis , Chris D. White

We present a classically equivalent reformulation of the Standard Model. In this framework, the Higgs doublet is recast as a $2\times2$ matrix and right-handed fermion singlets are organized into novel doublets. This restructuring reveals a…

High Energy Physics - Theory · Physics 2025-12-08 Peng Huang

In this paper, we study static vacuum solutions of quantum gravity at a fixed Lifshitz point in (2+1) dimensions, and present all the diagonal solutions in closed forms in the infrared limit. The exact solutions represent spacetimes with…

High Energy Physics - Theory · Physics 2015-06-19 Fu-Wen Shu , Kai Lin , Anzhong Wang , Qiang Wu

The gravitational perturbations of a rotating Kerr black hole are notoriously complicated, even at the linear level. In 1973, Teukolsky showed that their physical degrees of freedom are encoded in two gauge-invariant Weyl curvature scalars…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Roman Berens , Trevor Gravely , Alexandru Lupsasca

We construct asymptotically Kaluza-Klein solutions in five-dimensional Einstein-Maxwell theory which represent a pair of extremal, charged, static black holes on Kerr-Taub-bolt space. Regularity conditions require that the topology of…

High Energy Physics - Theory · Physics 2015-10-12 Ken Matsuno , Hideki Ishihara , Masashi Kimura

Gauge-gravity duality is arguably our best hope for understanding quantum gravity. Considerable progress has been made in relating scattering amplitudes in certain gravity theories to those in gauge theories---a correspondence dubbed the…

High Energy Physics - Theory · Physics 2021-02-03 Gilly Elor , Kara Farnsworth , Michael L. Graesser , Gabriel Herczeg

We study the classical double copy for ungauged half-maximal supergravities using the Kaluza-Klein reduction of double field theory (DFT). We construct a general formula for the Kaluza-Klein (KK) reduction of the DFT Kerr-Schild ansatz. The…

High Energy Physics - Theory · Physics 2021-11-17 Stephen Angus , Kyoungho Cho , Kanghoon Lee

We explicitly prove that a class of finite quantum gravitational theories (in odd as well as in even dimension) is actually a range of anomaly-free conformally invariant theories in the spontaneously broken phase of the conformal Weyl…

High Energy Physics - Theory · Physics 2016-05-16 Leonardo Modesto , Leslaw Rachwal

Self-dual black holes in (2,2) signature spacetime -- Klein space -- have recently attracted interest in the context of celestial holography. Motivated by this development, we investigate the structure of spacetime near the horizons of…

High Energy Physics - Theory · Physics 2025-05-20 Gaston Giribet , Juan Laurnagaray , Bryan Malpartida , Pedro Schmied

In this work, a regular black string solution will be presented from the method used by Simpson-Visser to regularize the Schwarzschild solution. As in the Simpson-Visser work, in this new black string solution, it is possible to represent…

General Relativity and Quantum Cosmology · Physics 2022-11-23 A. Lima , G. Alencar , J. Furtado

The analytic continuation of the general signature $(1,3)$ Lorentzian Kerr-Taub-NUT black holes to signature $(2,2)$ Kleinian black holes is studied. Their global structure is characterized by a toric Penrose diagram resembling their…

High Energy Physics - Theory · Physics 2022-11-09 Erin Crawley , Alfredo Guevara , Noah Miller , Andrew Strominger

A proof is given that the space $\L$ of solutions of the linearized vacuum Einstein's equation around a Schwarzschild black hole is parameterized by two scalar fields which are gauge invariant combinations of perturbed algebraic and…

General Relativity and Quantum Cosmology · Physics 2014-06-12 Gustavo Dotti

We obtain a closed formula for the Kaehler potential of a broad class of four-dimensional Lorentzian or Euclidean conformal "Kaehler" geometries, including the Plebanski-Demianski class and various gravitational instantons such as…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Steffen Aksteiner , Bernardo Araneda

In two-dimensional dilaton gravity theories, there may exist a global Weyl invariance which makes black hole spurious. If the global invariance and the local Weyl invariance of the matter coupling are intact at the quantum level, there is…

High Energy Physics - Theory · Physics 2015-06-26 Takanori Fujiwara , Yuji Igarashi , Jisuke Kubo

We study black hole solutions in extended gravities with higher-order curvature terms, including conformal and Einstein-Weyl gravities. In addition to the usual AdS vacuum, the theories admit Lifshitz and Schr\"odinger vacua. The AdS black…

High Energy Physics - Theory · Physics 2012-08-09 H. Lu , Y. Pang , C. N. Pope , J. Vazquez-Poritz

We establish two surprising types of Weyl's laws for some compact $\mathrm{RCD}(K, N)$/Ricci limit spaces. The first type could have power growth of any order (bigger than one). The other one has an order corrected by logarithm similar to…

Differential Geometry · Mathematics 2025-07-03 Xianzhe Dai , Shouhei Honda , Jiayin Pan , Guofang Wei

We consider 5D supersymmetric black holes in string theory compactifications that partially break supersymmetry. We compactify type IIB on $T^4$ and then further compactify on a circle with a duality twist to give Minkowski vacua preserving…

High Energy Physics - Theory · Physics 2020-08-26 Chris Hull , Eric Marcus , Koen Stemerdink , Stefan Vandoren